Answer: a=17 mm length
b=37 mm width
Step-by-step explanation:
P=2a+2b
a -length
b-width
b=2a+3
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108mm=2a+2(2a+3)
108=6a+6
6a=102
a=17 mm
b=17*2+3
b=34+3
b=37 mm
Answer:
B = (-11, -17)
C = (11, -17)
Step-by-step explanation:
Reflection over the x-axis is accomplished by changing the sign of the y-coordinate:
(x, y) ⇒ (x, -y) . . . . . reflection over x-axis
Reflection over the y-axis is accomplished by changing the sign of the x-coordinate:
(x, y) ⇒ (-x, y) . . . . . reflection over the y-axis
__
B = (-11, -17)
C = (11, -17)
__
<em>Check</em>
Reflection over both axes negates both coordinates. It is equivalent to reflection over the origin, or rotation 180°.
A(-11, 17) ⇒ C(11, -17) . . . . . both coordinates change sign
Answer:
a). L=53+3 D.... equation
b). Total length of the road after the crew has worked 31 days=146 miles
Step-by-step explanation:
Step 1
Find an expression for calculating the total length of a the road as follows;
L=F+(M×D)
where;
L=total length of the road in miles
F=starting length of the road in miles
M=number of miles per day added
D=number of days the crew has worked
In our case;
L=unknown
F=53 miles
M=3 miles per day
D=unknown
L=53+(3×D)
L=53+3 D.... equation
Solve for L when D=31 days
L=53+(3×31)
L=53+93=146
Total length of the road after the crew has worked 31 days=146 miles
Answer:
Manny is making 3/2 batches, which is equivalent to 1.5, it's more than one. So, Manny is making more than 1 batch.
According to the problem, 2 cups of flour in a batch, if he's making 1.5 batch, he would need 3 cups of flour, which is more than 2 cups of flour.
